Question

A multinational corporation employing several thousand workers at its campus in a large city would like...

A multinational corporation employing several thousand workers at its campus in a large city would like to estimate the proportion of its employees who commute to work by any means other than automobile. The company hopes to use the information to develop a proposal to encourage more work by means other than an automobile.
a. How many more employees must the company randomly sample to be able to estimate the true population of employees who commute to work by means other than an automobile with a margin of error of 0.03 and a level of confidence of 95%?
The company must sample _ more employees.
(round to nearest whole number)
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.03

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

Sample size = n = ((Z / 2) / E)2 * * (1 - )

= (1.960 / 0.03)2 * 0.5 * 0.5

= 1067.0566

= 1067

n = sample size = 1067

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